Additive algebra for signal and image processing
Valery S. Vykhovanets · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2005
A signal (image) processing and wavelet transform based on a representation over additive algebra is discussed. This system can be used for syntheses various spectral representations of digital readouts of a signal. Theorem of spectral decomposition is formulated. The given theorem allows constructing spectral functions for various implementations. Examples of the digital signal processing and wavelet transform are given.